High School

Simplify: [tex](5x^4 + 3)^2[/tex]

A. [tex]25x^8 + 30x^4 + 9[/tex]
B. [tex]10x^8 + 30x^4 + 6[/tex]
C. [tex]25x^{16} + 30x^4 + 9[/tex]
D. [tex]25x^8 + 9[/tex]

Answer :

Answer:

The answer is option A

Step-by-step explanation:

( 5x⁴ + 3)²

( 5x⁴ + 3)(5x⁴ + 3)

Expand using FOIL

That's

(5x⁴)(5x⁴) + 5x⁴(3) + 3(5x⁴) + 3(3)

We have

[tex]25 {x}^{8} + {15x}^{4} + {15x}^{4} + 9[/tex]

Add and simplify like terms

We have the final answer as

[tex] {25x}^{8} + {30x}^{4} + 9[/tex]

Hope this helps you

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